Details

analyze1.0s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.3%	0.2%	12
12.2%	87.5%	0.2%	13
21.9%	77.7%	0.4%	14

sample28.0ms

Algorithm

intervals

Results

8.0ms	215×	body	80	valid
3.0ms	21×	body	640	valid
2.0ms	38×	body	80	invalid
1.0ms	10×	body	160	valid
1.0ms	4×	body	1280	valid
1.0ms	6×	body	320	valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4885	13
1	4885	13

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 12.4b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
2.9b	(+ x (* (- y z) (/ (- t x) (- a z))))
4.2b	(* (- y z) (/ (- t x) (- a z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

7.0ms	(/ (- t x) (- a z))
4.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
16.0ms	(* (- y z) (/ (- t x) (- a z)))

series96.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ (- t x) (- a z))
50.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
34.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5183	1602

prune168.0ms

Filtered

88 candidates to 128 candidates (-45.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	118	10	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	118	11	129

Merged error: 1.8b

Counts

129 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) (- t x))
0.5b	(/ 1 (/ (- a z) (- t x)))
3.6b	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
4.2b	(* (- y z) (/ 1 (/ (- a z) (- t x))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
338×	`add-sqr-sqrt`
326×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
83×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
11×	`flip3--` `flip--`
10×	`div-inv`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`associate-l` `unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`cbrt-unprod`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 344

Calls

4 calls:

8.0ms	(/ (- a z) (- t x))
12.0ms	(/ 1 (/ (- a z) (- t x)))
4.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
33.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))

series152.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ (- a z) (- t x))
31.0ms	(/ 1 (/ (- a z) (- t x)))
50.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
58.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))

simplify73.0ms

Algorithm

egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5155	4965

prune287.0ms

Filtered

206 candidates to 356 candidates (-72.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	353	3	356
Fresh	3	6	9
Picked	1	0	1
Done	1	0	1
Total	358	9	367

Merged error: 1.8b

Counts

367 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.9b	(* (/ (- y z) (- a z)) (- t x))
2.2b	(+ x (* (/ (- y z) (- a z)) (- t x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-r` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`sub-neg` `associate-/r/`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 123

Calls

3 calls:

7.0ms	(/ (- y z) (- a z))
15.0ms	(* (/ (- y z) (- a z)) (- t x))
4.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))

series112.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/ (- y z) (- a z))
52.0ms	(* (/ (- y z) (- a z)) (- t x))
50.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5343	1678

prune132.0ms

Filtered

90 candidates to 132 candidates (-46.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	131	10	141

Merged error: 1.8b

Counts

141 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (/ (- y z) (- a z)) (- t x))
2.2b	(+ x (* (/ (- y z) (- a z)) (- t x)))
2.2b	(+ x (* (/ (- y z) (- a z)) (- t x)))
2.2b	(+ x (* (/ (- y z) (- a z)) (- t x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`associate-l`
26×	`times-frac`
16×	`add-cube-cbrt`
11×	`distribute-lft-out--` `difference-of-squares`
10×	`add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
8×	`sub-neg`
6×	`pow1` `associate-+r+`
5×	`associate-r`
4×	`distribute-rgt-in` `distribute-lft-in`
3×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+`
2×	`frac-times` `associate-*r/` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

4 → 97

Calls

4 calls:

17.0ms	(* (/ (- y z) (- a z)) (- t x))
4.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))
4.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))
4.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (/ (- y z) (- a z)) (- t x))
50.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))
50.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))
47.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))

simplify26.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5089	1543

prune104.0ms

Filtered

83 candidates to 109 candidates (-31.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	109	10	119

Merged error: 1.8b

Counts

119 → 10

regimes456.0ms

Accuracy

19.5% (6.5b remaining)

Error of 10.4b against oracle of 3.8b and baseline of 11.9b

bsearch53.0ms

Steps

Iters	Range		Point
10	1.016818027956072e-60	2.346739869215837e-43	3.2230590842740403e-59
7	-1.0757960170198412e-159	-1.9950758292132186e-161	-1.218667072671277e-160

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	33
1	64	33

end0.0ms

sample819.0ms

Algorithm

intervals

Results

261.0ms	6521×	body	80	valid
71.0ms	478×	body	640	valid
53.0ms	257×	body	1280	valid
50.0ms	435×	body	320	valid
48.0ms	1194×	body	80	invalid
21.0ms	283×	body	160	valid
6.0ms	26×	body	2560	valid

Details

analyze1.0s

sample28.0ms

simplify66.0ms

prune4.0ms

localize14.0ms

rewrite32.0ms

series96.0ms

simplify43.0ms

prune168.0ms

localize11.0ms

rewrite80.0ms

series152.0ms

simplify73.0ms

prune287.0ms

localize9.0ms

rewrite31.0ms

series112.0ms

simplify44.0ms

prune132.0ms

localize13.0ms

rewrite32.0ms

series201.0ms

simplify26.0ms

prune104.0ms

regimes456.0ms

bsearch53.0ms

simplify1.0ms

end0.0ms

sample819.0ms

Profiling